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Small-Sample Results for the Kaplan-Meier Estimator

 

作者: Y.Y. Chen,   M. Hollander,   N.A. Langberg,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1982）
卷期: Volume 77, issue 377  

页码: 141-144

 

ISSN:0162-1459

 

年代: 1982

 

DOI:10.1080/01621459.1982.10477777

 

出版商: Taylor & Francis Group

 

关键词: Censoring;Incomplete data;Kaplan-Meier estimator;Proportional hazards

 

数据来源: Taylor

 

摘要:

Whereas much is known about the asymptotic properties of the Kaplan-Meier (1958) estimator (KME) of a survival function, exact results for small samples have been difficult to obtain. In this article, we obtain an exact expression for the αth moment (α > 0) of the KME under a model of proportional hazards. This enables us, under proportional hazards, to (a) study the bias of the KME, and (b) compare the exact variance of the KME to its asymptotic variance.

 

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